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Finding the Fourth Proportional to 12,631.01, 17,431.08 and 6,965.93

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Solution

The fourth proportional to 12,631.01, 17,431.08 and 6,965.93 is: 9,613.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,631.01 : 17,431.08 = 6,965.93 : x
  2. Step 2: Convert to fraction form
    12,631.01/17,431.08 = 6,965.93/x
  3. Step 3: Cross multiply
    12,631.01x = 17,431.08 × 6,965.93
  4. Step 4: Simplify right side
    12,631.01x = 121,423,726.68
  5. Step 5: Solve for x
    x = 121,423,726.68/12,631.01
  6. Step 6: Final answer
    x = 9,613.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.